Extensions 1→N→G→Q→1 with N=Dic9 and Q=C6

Direct product G=NxQ with N=Dic9 and Q=C6
dρLabelID
C6xDic972C6xDic9216,55

Semidirect products G=N:Q with N=Dic9 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic9:C6 = Dic9:C6φ: C6/C1C6 ⊆ Out Dic9366Dic9:C6216,62
Dic9:2C6 = C4xC9:C6φ: C6/C2C3 ⊆ Out Dic9366Dic9:2C6216,53
Dic9:3C6 = C2xC9:C12φ: C6/C2C3 ⊆ Out Dic972Dic9:3C6216,61
Dic9:4C6 = C3xC9:D4φ: C6/C3C2 ⊆ Out Dic9362Dic9:4C6216,57
Dic9:5C6 = C12xD9φ: trivial image722Dic9:5C6216,45

Non-split extensions G=N.Q with N=Dic9 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic9.C6 = C36.C6φ: C6/C1C6 ⊆ Out Dic9726-Dic9.C6216,52
Dic9.2C6 = C3xDic18φ: C6/C3C2 ⊆ Out Dic9722Dic9.2C6216,43

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